Finding the Third Proportional to 105,736 and 155,683

Step by Step Solution

1. Step 1: Write the proportion equation
   105,736 : 155,683 = 155,683 : x
2. Step 2: Convert to fraction form
   105,736/155,683 = 155,683/x
3. Step 3: Cross multiply
   105,736x = 155,683 × 155,683
4. Step 4: Simplify right side
   105,736x = 24,237,196,489
5. Step 5: Solve for x
   x = 24,237,196,489/105,736
6. Step 6: Final answer
   x = 229,223.69